0
GCF stands for Greatest Common Factor. This means that the GCF of 45 and 75 will be the greatest common factor of 45 and 75.
The prime factorization of 45 is 3^2*5. Thus, a number is a factor of 45 if and only if it does not have more than 2 3s in its prime factorization, more than one 5 in its prime factorization, or any other prime factor.
The prime factorization of 75 is 3*5^2. Thus, a number is a factor of 75 if and only if it does not have more than one 3 in its prime factorization, more than 2 5s in its prime factorization, or any other prime factor.
Combining those two conclusions together, we get that if a number is a common factor of 45 and 75 if and only if it does not have more than one 3 in its prime factorization, more than one 5 in its prime factorization, or any other prime factor.
Since multiplying by a 3 or a 5 will only increase the value of a number, there is no reason to not include them. Thus, the GCF of 45 and 75 is 3*5 or 15.
Still curious? Ask our experts.
Chat with our AI personalities
Fran
Rene
ProfessorAdd your answer:
Earn +20 pts
What is 30 45 and 75 gfc?
The GCF is 15.
What is the gfc of 35 and 45?
No idea what the gfc is but GCF(35, 45) = 5.
What is the GFC for 20 and 45?
5
What is the GFC of 24 and 45?
The GCF is 3.
What is the gfc of 30 45?
The GCF is 15.
What is the gfc of 135 and 225?
The GCF is 45.
What is the gfc of 45 90 150?
Their gcf is 15 .
What is the gfc of 35 45 95 90?
The GCF is 5.
What is the GCF of 24 30 and 45?
The GCF is 3.
What percent of 75 is 45?
33.08 is 75% of 45
What is the perimeter and area of 75 centimeters by 45 centimeters?
p = 75+75+45+45=240cm a = 75 x 45 = 3375cm
What is 120 - 75?
45
